Did you solve it? The numbers all go to 11

The numbers all go to 11 - Can You Crack Them?

Are you up for a challenge? A team of footballers donning shirt numbers from 1 to 11 has stumped its coach into submission, proving that it's impossible to divide the players into defenders, midfielders, and forwards in groups whose total jersey numbers are divisible by 11. The problem lies with the sum of shirt number totals for the outfield players - a whopping 65, which can't be evenly divided by 11.

Meanwhile, if you're feeling nostalgic for your school days, you might recall the delightfully simple 11 x times table, where each answer is a palindrome (a number that reads the same backwards as forwards). But what about those of us who've grown out of such simplistic arithmetic? How many more answers from 11 x 1 to 11 x 99 are palindromes? The answer lies in understanding how multiplying by 11 works.

In another mathematical conundrum, a team must create the largest possible 10-digit number using each of the digits 0-9 exactly once and make it divisible by 11. While the biggest number starting with '987654' falls short due to an insurmountable difference of four between its sums, the subsequent arrangement, 9876524130, manages a much closer margin of eleven between its odd-position sum of twenty-eight and even-position sum of seventeen.

Can you solve it? The numbers all go to 11 - will you be able to crack these seemingly intractable mathematical puzzles or leave them to their clever solution.
 
πŸ€” this is crazy what's with the team of footballers trying to divide themselves into groups that add up to a multiple of 11... like, can't they just be flexible about who plays where? πŸ’ͺ and omg those palindromes from 11 x times table are wild, i've never seen anything like it. but you know what's even crazier than solving these puzzles? trying to make a 10-digit number divisible by 11 🀯
 
I'm gonna make a simple mind map πŸ“πŸ’‘:

+-------------------+
| Problem 1 |
+-------------------+
|
|
+---------------+ *65 is not divisible by 11
|
| |
| |
+---------------+ *Coach gives up πŸ˜‚
|
v
+---------------+ Solution: different positions!
|
v
+-------------------+

+-------------------+
| Problem 2 |
+-------------------+
|
|
+---------------+ *4 difference between sums
|
| |
| |
+---------------+ *New arrangement makes it closer
|
v
+---------------+ Solution: try different positions! πŸ€”
|
v
+-------------------+

As for the palindrome thingy, I think it's just a fun fact πŸŽ‰. If we multiply 11 with numbers from 1 to 99, we get palindromes for numbers like 11*1=11, 11*2=22, but not really for higher numbers... It's not that hard to see the pattern and find more palindrome answers yourself 😊
 
I'm loving this, the whole team number thing is so mind-blowing 🀯 I mean, who knew dividing a group of people into roles based on numbers could be so tricky? But at the same time, it's also kinda simple... like, we already know that some numbers can't be divided evenly by 11, and that 65 is one of them. And yeah, those palindromes from 11 x times table are pretty cool, but I'm not sure how many more answers there are beyond 99 πŸ€”

And then this number problem... it's all about understanding the multiplication thingy with 11. I mean, I've seen these big numbers before, but I never thought about how they could be arranged to make them work. The one that worked was pretty crazy, using all those digits in a different order. But yeah, I get why some of them don't work... it's just math πŸ“
 
omg i love math problems like this!!! 🀯 i'm definitely up for the challenge, but tbh i have no idea how to solve it yet... can we break down the 10-digit number problem further? like, what's the difference between an odd-position sum and an even-position sum again? πŸ’‘ any tips would be super appreciated! 😊
 
I was thinking about this problem yesterday and I just remembered when I was trying to make my fantasy football team last season, we had a similar issue with players numbers not adding up to 11... it was so frustrating! anyway, back to this puzzle... have you tried rearranging the digits in that 10-digit number? maybe there's a pattern or something πŸ€”
 
omg I just got the new pixel 7 phone πŸ“± and I'm OBSESSED with the camera quality it's like, who needs a tripod when the pics are this good? anyway back to these math problems... I've always had a thing for palindromes, there's something about numbers that read the same way forwards & backwards that just fascinates me. maybe it's 'cause I was one of those kids who loved memorizing times tables in school lol.
 
I'm like trying to find my own phone charger in a sea of cables πŸ“¦πŸ˜©. These math problems got me all stumped, I'm not even going to lie πŸ˜‚. Like, who thought it was a good idea to make 11 times table palindromes? It's like they wanted us to feel old and confused 🀣. And then you gotta try and find that perfect 10-digit number divisible by 11... it's like trying to squeeze 20 cats into a tiny box 🐈😹. I'm gonna leave these ones for the math whizzes, I'm good with just making fun of them 😜.
 
I mean, this is a classic case of the government not providing enough funding for STEM education 🀯. I'm surprised our young people can't even solve simple math problems like this. It's like they're being forced to play football without knowing the rules ⚽️. And what's with these 11 x times tables? Can't we move on to something more challenging, like quantum physics or AI development? πŸ€– The fact that our top players can't even crack a simple math problem like this is just not good enough for our economy πŸ’Έ. We need to step up the game and start producing problem solvers who can tackle the real-world challenges we're facing 🌎. This is what I call a national embarrassment 😬.
 
OMG, I'm so confused πŸ˜‚ by this one! Like, I get that we can't divide the football players into groups whose total jersey numbers add up to a number divisible by 11... it just doesn't make sense math-wise, you feel? πŸ€·β€β™€οΈ And then there's this crazy multiplication problem where we gotta create the largest 10-digit number using each digit from 0-9 exactly once and still get it to be divisible by 11... it's like trying to solve a puzzle blindfolded! πŸ”₯ I'm no math whiz, but I think I need some help figuring these out πŸ€”. Can we break them down step by step?
 
lol this math stuff is like trying to solve a puzzle blindfolded πŸ€”β€β™‚οΈ, I mean what's next gonna be solving a Rubik's cube while reciting the entire script of "Ocean's Eleven"? πŸ˜‚ anyway back to these crazy numbers, i got no clue how they're supposed to be cracked but it sounds like its all about patterns and stuff, 11 times table is just basic math kiddo πŸ“, but that last one with the digits? i wish i had a calculator lol that 10-digit number puzzle is like trying to find a needle in a haystack πŸ˜‚ maybe leave it to the math geniuses for now?
 
"Absence of mind is the curse of knowledge." You'd think solving some brain teasers would make you smarter, but sometimes it's just a matter of being present enough to figure out how they work πŸ€”πŸ’‘. It's like trying to solve a Rubik's Cube – sometimes you need to take a step back and look at it from a different angle.
 
I love the simplicity of those footballer's problem πŸ€”. It makes me think about how our brains are wired for patterns, especially when it comes to numbers. But I'm curious, is that just a fun puzzle or is there something more to it? Like, what if we applied this same logic to real-life problems? Could we find innovative solutions by thinking outside the box and playing with numbers in a similar way? πŸ€“
 
omg I'm all about those brain teasers lol but can we talk about something more pressing for a sec? like have you seen the latest reports on climate change mitigation efforts? 65 is cute compared to the massive carbon footprint we're dealing with rn 🌎😬 those footballers might be stuck, but our planet's got some serious math problems to solve
 
idk about this 11 thing... i mean, isn't 11 just a prime number and that means it's only divisible by 1 and itself? so how can we divide footballers into groups with total jersey numbers that are divisible by 11? sounds like a bit of a cheat to me πŸ€” but then again, if i think about the palindrome thing... wouldn't multiplying any number by 11 just make it a weird, reversed number? is that even possible for a 10-digit number? and what's with this 'will you be able to crack these seemingly intractable mathematical puzzles' business? sounds like a bunch of malarkey to me πŸ˜’
 
I just remember seeing this article from like last year, the team was super creative but I don't know if that's the only way to do it, what if there are other numbers that work? πŸ€” I mean 10 digit number puzzle is kinda cool but it seems so random and I'm still stuck on the 11 jersey thing, can you imagine being a coach trying to figure that out πŸ˜‚
 
I love this stuff! I mean, who doesn't like a good brain teaser, right? πŸ€” But seriously, the math behind these problems is so cool. I'm fascinated by how numbers work and all the patterns that come with them. This '11 x times table' thing is especially interesting because of palindromes - it's like a secret code! πŸ”’ And can you believe those footballers couldn't figure out their own team dynamics? πŸ˜‚

But what really gets me thinking about this math puzzle is how they came up with that huge 10-digit number, 9876524130. I mean, wow, that's quite the combination of numbers! It's like a big jigsaw puzzle. I wonder if there are other ways to make those sums work out to be divisible by 11... Maybe someone can come up with an even bigger number? πŸ€”πŸ’‘
 
πŸ€” I mean, come on, a team can't even get their shirt numbers sorted out... 1-11 is like, basic math, right? πŸ˜‚ I'm curious about the palindrome thing though, 11 x times table was always kinda cool. But let's be real, who needs palindromes in their life? πŸ’β€β™€οΈ The larger number puzzle sounds more interesting to me, but those sums are crazy. Like, 20 and 17 is a small margin... I'm no math whiz, so I'll just have to leave it up to the clever folks out there πŸ‘¨β€πŸŽ“.

Now that this got me thinking about numbers, what if we take it a step further? What if we create an online chain reaction where everyone shares their own favorite number-related puzzles or brain teasers? We can go back and forth for hours trying to solve them together! 🌐
 
idk what's so hard about this math problems πŸ€” i mean, its like basic multiplication and stuff... 11 x any number is just gonna give u a big ol palindrome like "121" or whatever... why cant they just use that formula to figure out how many of the answers r palindromes? its not that hard πŸ™„
 
omg u guys I'm like stuck on this math problem rn πŸ˜‚ they're trying to make a 10 digit number using digits 0-9 and it's gotta be divisible by 11... i was trying to solve it but honestly I couldn't find the right arrangement πŸ€” is it just me or does 9876524130 seem like an impossible answer? did anyone else try this one out πŸ€“
 
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